Analytical Dynamics of Modulated Systems

  • D. R. Westhead
  • S. W. Lovesey
  • G. Watson
Part of the NATO ASI Series book series (NSSB, volume 264)


In theoretical physics one faces the dilemma of whether to work with simple model systems which are analytically tractable or with more complicated and realistic systems which are only soluble, if at all, by numerical methods. Of course both approaches have their value. The purpose of this brief review is to deal with analytical methods applied to the calculation of dynamical properties of some simple models which exhibit two independent periodicities. These periodicities provide two independent length scales for the model. In principle the two periodicities could be incommensurable and much of the interest in this topic is the investigation of the dependence of calculated quantities on their ratio. We give results which show the general features of the dynamics of such models, which are probably present in more complicated systems. In addition, some results which are of relevance to experiments on particular systems are given.


Green Function Pure System Mass Defect Dynamic Structure Factor Floquet Multiplier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. de Lange C. and Janssen T. (1981) J. Phys. C14, 5269ADSGoogle Scholar
  2. Hofstadter Phys. Rev. B14 (1976), 2239ADSGoogle Scholar
  3. Lovesey S. W. (1986) Condensed Matter Physics: Dynamic Correlations, Frontiers in Physics Vol.61(Menlo Park CA:Benjamin/Cummings)Google Scholar
  4. Lovesey S. W. (1987) Theory of Neutron Scattering from Condensed Matter Vol 1 (Oxford: O.U.P.)Google Scholar
  5. Lovesey S. W. (1988)a J. Phys. C21, 2805ADSGoogle Scholar
  6. Lovesey S. W. (1988)b J. Phys. C21, 4967Google Scholar
  7. Lovesey S. W. (1989) J. Phys. Condens. Matter 1, 2731ADSCrossRefGoogle Scholar
  8. Lovesey S. W. and Westhead D. R. (1990)a To be published in J. Phys. Condens. MatterGoogle Scholar
  9. Lovesey S. W. and Westhead D. R. (1990)b To be published in J. Phys. Condens. MatterGoogle Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • D. R. Westhead
    • 1
  • S. W. Lovesey
    • 2
  • G. Watson
    • 1
  1. 1.Dept. of Theoretical Phys.Univ. of OxfordOxfordUK
  2. 2.Rutherford Appleton LaboratoryOxfordshireUK

Personalised recommendations